Question: The level-flow system in Figure is to be analyzed. The flow into the system, F0, is independent of the system pressures. The feed is entirely liquid, and the first vessel is closed and has a nonsoluble gas in the space above the nonvolatile liquid. The flows F1 and F2 depend only on the pressure drops, because the restrictions in the pipes are fixed. Derive the linearized model for this system in response to a step change in F0, solve the equations, and, without specific numerical values, sketch the dynamic responses